库仑定律和牛顿第二定律的理论推导

Theoretical Derivation to Newton's Second Law and the Law of Coulomb

关键词:  库仑定律  牛顿第二定律  分形方法  理论推导

Key words:  the law of Coulomb  Newton's second law  fractal method  theoretical derivation

摘要:

为了探讨从理论上导出库仑定律和牛顿第二定律的可能性,根据能量守恒定律,用变维分形方法改进库仑定律和牛顿第二定律,并给出同时推导改进的库仑定律及牛顿第二定律的方法和针对带电小球在带电球体的电场中沿长斜面滚下的实例。具体给出适用于实例的常维分形结果:改进的库仑定律(非平方反比库仑定律)为f=kq₁q₂/r^1.99989,改进的牛顿第二定律为F=ma^1.01458。

Abstract:

To discuss the possibility of deriving the law of Coulomb and Newton's second law theoretically, according to the law of conservation of energy,the variable dimension fractal method is developed, and used to improve Newton's second law and the law of Coulomb in an example (a small electrification ball moves down along a long incline within the electric field due to an electrification globe). The results suitable for this example with the constant dimension fractal form as follows:the improved law of Coulomb(inverse non-square law of Coulomb),f=kq₁q₂/r^1.99989;the improved Newton's second law F=ma^1.01458.